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Title: Fundamentals of Electrical Circuit
Description: This is an introductory concept of electrical circuits.
Description: This is an introductory concept of electrical circuits.
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Fundamentals of Electrical Circuits
(Problems)
Introductory Concept of Electrical Circuits
Electric Current
1
...
If it is switched
on for 5 minutes,
a
...
How many electrons have passed through it?
Given:
𝑄= ?
𝑡 = 5𝑚𝑖𝑛 × 60 = 300𝑠𝑒𝑐
𝐼 = 3𝐴
Solution:
a
...
Charge of 1 electron = 1
...
of electrons =
−19
1
...
of electrons = 5
...
A wire 12m long has a resistance of 1
...
What will
be the resistance of 16m of the same wire?
Given:
𝐿1 = 12𝑚
𝑅1 = 1
...
5Ω
16𝑚
12𝑚
24Ω𝑚
12𝑚
𝑅1 = 2Ω ANS
2
...
2mm radius has a
length of 5m
...
7 × 10 , what would be the resistance of the wire?
Given:
𝐿 = 5𝑚
𝑅= ?
−8
ρ𝑐𝑜𝑝𝑝𝑒𝑟 = 1
...
2𝑚𝑚
1000
−4
= 0
...
7×10 Ω𝑚)(5𝑚)
2
−8
𝐴 = π(2 × 10 𝑚)
−7
2
𝐴 = 1
...
2566×10 𝑚
𝑅 = 0
...
What is the resistance of 100m of copper wire,
having a diameter of 1
...
7 × 10 Ω𝑚
𝑑=
1
...
001024𝑚 𝑜𝑟 1
...
024×10 𝑚
2
ρ𝐿
𝐴
𝑅=
(1
...
2355 × 10 𝑚
−7
2
8
...
0642Ω ANS
4
...
83 ohms
...
15mm
...
83Ω
ρ= ?
𝑑=
1
...
00115𝑚 𝑜𝑟 1
...
15×10 𝑚
2
𝐴𝑅
𝐿
ρ=
(1
...
83Ω)
50𝑚
−8
−6
2
)
−6
ρ=
2
𝐴 = 1
...
72 × 10 Ω𝑚
ρ = 𝑐𝑜𝑝𝑝𝑒𝑟 ANS
5
...
25mm if its resistance is found to be 0
...
2Ω
−8
ρ𝑐𝑜𝑝𝑝𝑒𝑟 = 1
...
25𝑚𝑚
1000
−4
= 0
...
5 × 10 𝑚
Solution:
2
𝐴 = π𝑟
−4
𝐴𝑅
ρ
𝐿=
(1
...
2Ω)
2
𝐴 = π(2
...
9635 × 10 𝑚
−7
2
−8
1
...
31𝑚 ANS
Title: Fundamentals of Electrical Circuit
Description: This is an introductory concept of electrical circuits.
Description: This is an introductory concept of electrical circuits.